A hybrid mean value of Dedekind sums and Kloosterman sums

JOURNAL OF NUMBER THEORY

卷:147

Article

Zhang Wenpeng¹  Han Di¹ 

[1] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

关键词: Dedekind sums;    Cochrane sums;    Kloosterman sums;    Hybrid mean value;    Analytic methods;    Asymptotic formula;   

DOI  :  10.1016/j.jnt.2014.01.017

来源: Elsevier

【 摘 要 】

In this paper, we use the properties of Gauss sums and analytic methods to study the hybrid mean value problems involving Dedekind sums and Kloosterman sums, and give an interesting asymptotic formula for it. At the same time, we can also use the similar methods to deal with the other related sums, such as Cochrane sums. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free